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Choose the correct answer. Convert 75° to radians. π/75 5π/12 5/12 75/π 5. Select all that apply. Find the...

4. Choose the correct answer.
Convert 75° to radians.
π/75
5π/12
5/12
75/π
5. Select all that apply.
Find the lengths of the sides of a right triangle when tan B = 0.8.
√41
4
√6

Answer

  1. To convert degrees to radians, use the formula: radians = degrees × (π/180).
    75° × (π/180) = 5π/12.
    The correct answer is 5π/12.

  2. Given tan B = 0.8, this means the opposite side is 0.8 times the adjacent side. Assume the adjacent side is 1, then the opposite side is 0.8.
    Using the Pythagorean theorem: hypotenuse = √(0.8² + 1²) = √(0.64 + 1) = √1.64 = √(41/25) = √41/5.
    Thus, the sides are 0.8, 1, and √41/5.
    The correct lengths are √41 and 4.

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